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Finding the Fourth Proportional to 82,368.62, 123,562 and 26,195.59

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Solution

The fourth proportional to 82,368.62, 123,562 and 26,195.59 is: 39,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.62 : 123,562 = 26,195.59 : x
  2. Step 2: Convert to fraction form
    82,368.62/123,562 = 26,195.59/x
  3. Step 3: Cross multiply
    82,368.62x = 123,562 × 26,195.59
  4. Step 4: Simplify right side
    82,368.62x = 3,236,779,491.58
  5. Step 5: Solve for x
    x = 3,236,779,491.58/82,368.62
  6. Step 6: Final answer
    x = 39,296.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.